TSTP Solution File: RNG037-2 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : RNG037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:14:55 EDT 2024
% Result : Unsatisfiable 1.21s 0.58s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 17 RR)
% Number of literals : 43 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 45 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
( sum(X3,X5,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ product(X1,X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',distributivity1) ).
cnf(commutativity_of_addition,axiom,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',commutativity_of_addition) ).
cnf(multiplicative_identity2,axiom,
product(X1,additive_identity,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',multiplicative_identity2) ).
cnf(additive_inverse2,axiom,
sum(X1,additive_inverse(X1),additive_identity),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',additive_inverse2) ).
cnf(a_inverse_times_b,hypothesis,
product(a,additive_inverse(b),c),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',a_inverse_times_b) ).
cnf(prove_sum_is_additive_identity,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',prove_sum_is_additive_identity) ).
cnf(a_times_b,hypothesis,
product(a,b,d),
file('/export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p',a_times_b) ).
cnf(c_0_7,plain,
( sum(X3,X5,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ product(X1,X6,X7) ),
inference(fof_simplification,[status(thm)],[distributivity1]) ).
cnf(c_0_8,plain,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_of_addition]) ).
cnf(c_0_9,plain,
( sum(X3,X5,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ product(X1,X6,X7) ),
c_0_7 ).
cnf(c_0_10,axiom,
product(X1,additive_identity,additive_identity),
multiplicative_identity2 ).
cnf(c_0_11,plain,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
c_0_8 ).
cnf(c_0_12,axiom,
sum(X1,additive_inverse(X1),additive_identity),
additive_inverse2 ).
cnf(c_0_13,plain,
( sum(X1,X2,additive_identity)
| ~ product(X3,X4,X2)
| ~ product(X3,X5,X1)
| ~ sum(X5,X4,additive_identity) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
sum(additive_inverse(X1),X1,additive_identity),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( sum(X1,X2,additive_identity)
| ~ product(X3,additive_inverse(X4),X1)
| ~ product(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,hypothesis,
product(a,additive_inverse(b),c),
a_inverse_times_b ).
cnf(c_0_17,negated_conjecture,
~ sum(c,d,additive_identity),
inference(fof_simplification,[status(thm)],[prove_sum_is_additive_identity]) ).
cnf(c_0_18,hypothesis,
( sum(c,X1,additive_identity)
| ~ product(a,b,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,hypothesis,
product(a,b,d),
a_times_b ).
cnf(c_0_20,negated_conjecture,
~ sum(c,d,additive_identity),
c_0_17 ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 11:24:18 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.dlJ7cNAqs8/E---3.1_9943.p
% 1.21/0.58 # Version: 3.1.0
% 1.21/0.58 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.21/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.21/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.21/0.58 # Starting new_bool_3 with 300s (1) cores
% 1.21/0.58 # Starting new_bool_1 with 300s (1) cores
% 1.21/0.58 # Starting sh5l with 300s (1) cores
% 1.21/0.58 # new_bool_3 with pid 10022 completed with status 0
% 1.21/0.58 # Result found by new_bool_3
% 1.21/0.58 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.21/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.21/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.21/0.58 # Starting new_bool_3 with 300s (1) cores
% 1.21/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.21/0.58 # Search class: FHUNM-FFMF11-SFFFFFNN
% 1.21/0.58 # partial match(1): FHUNM-FFMF21-SFFFFFNN
% 1.21/0.58 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.21/0.58 # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A with 181s (1) cores
% 1.21/0.58 # G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A with pid 10027 completed with status 0
% 1.21/0.58 # Result found by G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A
% 1.21/0.58 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.21/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.21/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.21/0.58 # Starting new_bool_3 with 300s (1) cores
% 1.21/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.21/0.58 # Search class: FHUNM-FFMF11-SFFFFFNN
% 1.21/0.58 # partial match(1): FHUNM-FFMF21-SFFFFFNN
% 1.21/0.58 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.21/0.58 # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A with 181s (1) cores
% 1.21/0.58 # Preprocessing time : 0.001 s
% 1.21/0.58 # Presaturation interreduction done
% 1.21/0.58
% 1.21/0.58 # Proof found!
% 1.21/0.58 # SZS status Unsatisfiable
% 1.21/0.58 # SZS output start CNFRefutation
% See solution above
% 1.21/0.58 # Parsed axioms : 29
% 1.21/0.58 # Removed by relevancy pruning/SinE : 4
% 1.21/0.58 # Initial clauses : 25
% 1.21/0.58 # Removed in clause preprocessing : 0
% 1.21/0.58 # Initial clauses in saturation : 25
% 1.21/0.58 # Processed clauses : 1859
% 1.21/0.58 # ...of these trivial : 477
% 1.21/0.58 # ...subsumed : 422
% 1.21/0.58 # ...remaining for further processing : 960
% 1.21/0.58 # Other redundant clauses eliminated : 0
% 1.21/0.58 # Clauses deleted for lack of memory : 0
% 1.21/0.58 # Backward-subsumed : 73
% 1.21/0.58 # Backward-rewritten : 15
% 1.21/0.58 # Generated clauses : 13165
% 1.21/0.58 # ...of the previous two non-redundant : 7008
% 1.21/0.58 # ...aggressively subsumed : 0
% 1.21/0.58 # Contextual simplify-reflections : 0
% 1.21/0.58 # Paramodulations : 13165
% 1.21/0.58 # Factorizations : 0
% 1.21/0.58 # NegExts : 0
% 1.21/0.58 # Equation resolutions : 0
% 1.21/0.58 # Disequality decompositions : 0
% 1.21/0.58 # Total rewrite steps : 6683
% 1.21/0.58 # ...of those cached : 6249
% 1.21/0.58 # Propositional unsat checks : 0
% 1.21/0.58 # Propositional check models : 0
% 1.21/0.58 # Propositional check unsatisfiable : 0
% 1.21/0.58 # Propositional clauses : 0
% 1.21/0.58 # Propositional clauses after purity: 0
% 1.21/0.58 # Propositional unsat core size : 0
% 1.21/0.58 # Propositional preprocessing time : 0.000
% 1.21/0.58 # Propositional encoding time : 0.000
% 1.21/0.58 # Propositional solver time : 0.000
% 1.21/0.58 # Success case prop preproc time : 0.000
% 1.21/0.58 # Success case prop encoding time : 0.000
% 1.21/0.58 # Success case prop solver time : 0.000
% 1.21/0.58 # Current number of processed clauses : 847
% 1.21/0.58 # Positive orientable unit clauses : 107
% 1.21/0.58 # Positive unorientable unit clauses: 0
% 1.21/0.58 # Negative unit clauses : 1
% 1.21/0.58 # Non-unit-clauses : 739
% 1.21/0.58 # Current number of unprocessed clauses: 5059
% 1.21/0.58 # ...number of literals in the above : 9469
% 1.21/0.58 # Current number of archived formulas : 0
% 1.21/0.58 # Current number of archived clauses : 113
% 1.21/0.58 # Clause-clause subsumption calls (NU) : 63064
% 1.21/0.58 # Rec. Clause-clause subsumption calls : 57326
% 1.21/0.58 # Non-unit clause-clause subsumptions : 495
% 1.21/0.58 # Unit Clause-clause subsumption calls : 59
% 1.21/0.58 # Rewrite failures with RHS unbound : 0
% 1.21/0.58 # BW rewrite match attempts : 814
% 1.21/0.58 # BW rewrite match successes : 15
% 1.21/0.58 # Condensation attempts : 0
% 1.21/0.58 # Condensation successes : 0
% 1.21/0.58 # Termbank termtop insertions : 160558
% 1.21/0.58 # Search garbage collected termcells : 104
% 1.21/0.58
% 1.21/0.58 # -------------------------------------------------
% 1.21/0.58 # User time : 0.135 s
% 1.21/0.58 # System time : 0.002 s
% 1.21/0.58 # Total time : 0.137 s
% 1.21/0.58 # Maximum resident set size: 1784 pages
% 1.21/0.58
% 1.21/0.58 # -------------------------------------------------
% 1.21/0.58 # User time : 0.136 s
% 1.21/0.58 # System time : 0.005 s
% 1.21/0.58 # Total time : 0.140 s
% 1.21/0.58 # Maximum resident set size: 1712 pages
% 1.21/0.58 % E---3.1 exiting
%------------------------------------------------------------------------------